Heavy quark bound states above $T_c$

A. Beraudo; A. De Pace; A. Molinari; W.M. Alberico

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Heavy quark bound states above $T_c$

W.M. Alberico, A. Beraudo, A. De Pace, A. Molinari

High Energy Physics - Phenomenology · Submitted 7 Jul 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The solution of the equation provides an estimate of the melting temperature and of the radii for the different $c\bar{c}$ and $b\bar{b}$ bound states.

how it is stated · asserted 0.61 read the record →

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,064 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.13 · compares with prior results 0.08 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

A comprehensive parameterization of the colour singlet heavy quark free energy above $T_c$ is given, using the lattice data in quenched ($N_f=0$) and unquenched ($N_f=2$ and $N_f=3$) QCD. The corresponding (temperature dependent) potentials thus obtained are then inserted into the Schr\"odinger equation for the charmonium and the bottomonium in the deconfined phase of QCD. The solution of the equation provides an estimate of the melting temperature and of the radii for the different $c\bar{c}$ and $b\bar{b}$ bound states.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	A comprehensive parameterization of the colour singlet heavy quark free energy above $T_c$ is given, using the lattice data in quenched ($N_f=0$) and unquenched ($N_f=2$ and $N_f=3$) QCD.	contribution 0.70	0.88	0.12	asserted 1.00
s1	The corresponding (temperature dependent) potentials thus obtained are then inserted into the Schr\"odinger equation for the charmonium and the bottomonium in the deconfined phase of QCD.	method 0.99	0.88	0.05	asserted 0.99
s2	The solution of the equation provides an estimate of the melting temperature and of the radii for the different $c\bar{c}$ and $b\bar{b}$ bound states.	result 0.96	0.90	0.59	asserted 0.61

What kind of paper the classifier reports this is: theoretical result 0.60 · evidence from analysis of existing data 0.65.

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arXiv listing abstract v1

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full text
figures and tables
references and citing sentences
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

A comprehensive parameterization of the colour singlet heavy quark free energy above $T_c$ is given, using the lattice data in quenched ($N_f=0$) and unquenched ($N_f=2$ and $N_f=3$) QCD. The corresponding (temperature dependent) potentials thus obtained are then inserted into the Schr\"odinger equation for the charmonium and the bottomonium in the deconfined phase of QCD. The solution of the equation provides an estimate of the melting temperature and of the radii for the different $c\bar{c}$ and $b\bar{b}$ bound states.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Can quarkonia survive deconfinement ?
hep-ph 2007-05 conditional novelty 6.0 of 10

Screened-potential spectral functions dissolve all quarkonia except 1S bottomonium below 1.5 Tc while still reproducing lattice correlators, because threshold enhancement and a zero-mode term mimic the missing peaks.
Gauge/String Duality, Hot QCD and Heavy Ion Collisions
hep-th 2011-01 accept novelty 2.0 of 10

The review synthesizes a decade of work showing that strongly coupled plasma calculations from gauge/string duality give a coherent, quantitatively useful picture of hot QCD matter and heavy ion observables.
Charm and Beauty in a Hot Environment
hep-ph 2006-02 conditional novelty 2.0 of 10

Quarkonium states melt sequentially with temperature, so their survival pattern can be used to measure the temperature of the quark-gluon plasma.

How the literature uses it

10 arXiv papers cite this in 15 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 4 sentences without a confident label

Contests it 1 paper

In particular, we find that $1S$ charmonium state dissolves at a temperature below $1.5T_c$, contrary to the statements made in the literature based on different potential model analysis [ref] as well as on the analysis of lattice spectral functions [ref] .

Can quarkonia survive deconfinement ? · Discussion and Conclusions · contest 0.87

Uses its data or values 1 paper

The first one characterized by a high critical deconfinement temperature at T$_c$ = 270 MeV [ref] and the second one using T$_c$ = 190 MeV [ref] .

Quarkonia measurements with ALICE at the LHC · Suppression studies · 0.81

Compares with it 2 papers

Our results for $1S(J/ψ)$ are qualitatively agree with those of Refs. [ref] , [ref] based on phenomenological $QQ$ potentials identified with the free quark-antiquark energy measured on the lattice while our melting temperature for $1S(Υ)$ is much smaller than $T∼(4-6) T_c$ found in Ref. [ref] .

J/\psi and Upsilon at high temperature · Results · 0.99
Our results for $1S(J/ψ)$ are qualitatively agree with those of Refs. [ref] , [ref] while our melting temperature for $1S(Υ)$ is much smaller than $T∼(4-6) T_c$ found in Ref. [ref] .

Diquark and triquark correlations in the deconfined phase of QCD · Quarkonia at finite temperature · 0.97

Cites it as support 1 paper

Actually some model studies demonstrate such a situation [ref] .

Charmonium ground and excited states at finite temperature from complex Borel sum rules · Introduction · 0.98

Cites it as background 4 papers

While in these works phenomenological potentials have been used, more recent studies went one step further and attempted to connect the potential to lattice calculations of the finite temperature free energy of a static quark antiquark pair [ref] .

Can quarkonia survive deconfinement ? · introduction · 0.84
In the past several years quarkonium properties at finite temperature have been studied in potential models which use the singlet free energy as an input [ref] .

Static quark anti-quark pair in SU(2) gauge theory · Introduction · 0.93
This problem has been studied using potential models with screened temperature dependent potential [ref] .

On temperature dependence of quarkonium correlators · Introduction · 0.89

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